Answer to Question #90342 in Algebra for Sayem

Question

(x+a)^8=x^8(1+a/x)^8
Pls describe.....

Answer 1

(x + a)⁸ = x⁸ + 8x⁷a + 28x⁶a² + 56x⁵a³ + 70x⁴a⁴ + 56x³a⁵ + 28x²a⁶ + 8xa⁷ + a⁸

(1 + a/x)⁸ = 1 + 8(a/x) + 28(a/x)² + 56(a/x)³ + 70(a/x)⁴ + 56(a/x)⁵ + 28(a/x)⁶ + 8(a/x)⁷ + (a/x)⁸

x⁸(1 + a/x)⁸ = x⁸ + 8ax⁸/x + 28a²x⁸/x² + 56a³x⁸/x³ + 70a⁴x⁸/x⁴ + 56a⁵x⁸/x⁵ + 28a⁶x⁸/x⁶ + 8a⁷x⁸/x⁷ + a⁸x⁸/x⁸ = x⁸ + 8x⁷a + 28x⁶a² + 56x⁵a³ + 70x⁴a⁴ + 56x³a⁵ + 28x²a⁶ + 8xa⁷ + a⁸ => (x + a)⁸ = x⁸(1 + a/x)⁸.